1 / 12

P.5 RATIONAL EXPRESSIOS

P.5 RATIONAL EXPRESSIOS. ( التعبير الكسرية ). Objectives:. Simplify Rational Expression Operations on Rational Expressions Determining the LCD of Rational Expressions Complex Fractions. Polynomial – The sum or difference of monomials.

Download Presentation

P.5 RATIONAL EXPRESSIOS

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. P.5 RATIONAL EXPRESSIOS (التعبير الكسرية) Objectives: • Simplify Rational Expression • Operations on Rational Expressions • Determining the LCD of Rational Expressions • Complex Fractions

  2. Polynomial – The sum or difference of monomials. • Rational expression – A fraction whose numerator and denominator are polynomials. • Domain of a rational expression – the set of all real numbers except those for which the denominator is zero. • Reduced form – a rational expression in which the numerator and denominator have no factors in common.

  3. Rational Function: Let p(x) and q(x) be polynomials. Then a rational function is given by: The domain (values x can take) of the fcn includes all x-values such that q(x)  0.

  4. Domain= Ex: Find the domain: • The domain of f is all values of x, … but x2 - 4  0; solve by factoring … • (x - 2)(x + 2)  0; • By ZPP, x-2  0; x+2  0 • x   2

  5. solve: x2 + 1  0 x2  -1 No real solutions …. There are no restrictions on the values x can take.

  6. Rational Expressions Operation P, Q, R, and S are polynomials Addition Notice the common denominator Subtraction Find the reciprocal and multiply Multiplication Division

  7. Cancellation Properties

  8. Rational Expressions Cancel common factors Ex: Simplify Factor Cancel common factors Ex: Simplify Factor Multiply Across

  9. Least Common Denominator( LCD) (المقام المشترك الاصغر)

  10. Adding/Subtracting Must have LCD: x(x + 4) Combine like terms Distribute and combine fractions

  11. Complex Fractions ( الكسور المركبة) Multiply by the LCD: x Distribute and reduce to get here Factor to get here

  12. Ex: Simplify

More Related